264/64 as a Decimal and Mixed Number

264/64 as a decimal and mixed number expansion provides the detailed information about what is 264/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

264/64 as a Decimal
264/64 = 4.125
Hence,
264/64 as a decimal equals to 4.125
where,
264/64 is a given fraction,
The decimal expansion of 264/64 is 4.125

264/64 as a Mixed Number
264/64 = (256 + 8)/64
= 256/64 + 8/64
= 4 + 8/64
= 4 8/64
264/64 = 4 8/64

Hence,
264/64 as a mixed number is 4 ⁸/₆₄
where,
264/64 is a given fraction,
4 ⁸/₆₄ is the mixed number representation of 264/64.

The below work with steps provide the detailed information about how to convert fraction 264/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 264/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 264/64.

step 2 The numerator is greater than the denominator of the fraction 264/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 264/64
= 256 + 8/64
= (4 x 64) + 8/64

step 3 Make the above expression as individual fractions:
= (4 x 64)/64 + 8/64

step 4 Simplify the above expression:
= 4 x 64/64 + 8/64
= 4 + 8/64
= 4 + 1 x 8/8 x 8
= 4 + 1/8
4 + 1/8 can be written as a mixed number 4 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 4 + (1/8 x 125/125)
= 4 + 125/1000

step 6 Simplify the above expression further:
= 4 + 0.125
= 4.125
264/64 = 4.125

Hence,
264/64 as a decimal is 4.125
264/64 as a mixed number is 4 ¹/₈